Transcript

8.2.1 Exponents and Scientific Notation
Homework
Name _______________________________________ Date ______________ Period ______
Work through each of the problems below to practice the concepts from today’s lesson and
review concepts from previous lessons. Then review AND FIX work your work using the class
website. Be sure to always show all work!
8-47. Rewrite each of the expressions below using exponents.
a. 4 · 4 · 5 · 5 · 5
b. 3 · 3 · 3 · 3 · 3 · y · y
c. (6x)(6x)(6x)(6x)
8-48. Calculate the following products without using a calculator.
8-49. Graph the following points on a coordinate
grid: (1,1) , (4,1) , and (3, 4) and connect them.
a. Then translate the points three units right
and three units up.
b. What are the coordinates of the vertices of
the new triangle?
8-51. Enrollment in math courses at Kennedy High
School in Bloomington, Minnesota is shown in the
pie chart at right. If there are 1000 students
enrolled in math courses, estimate approximately
how many students are enrolled in each class listed
below. Be sure to show work AND justify your
reasoning for each.
a. Algebra
b. Geometry
c. Calculus
8-52. Determine the compound interest earned on $220 invested at 3.25% compounded
annually for 6 years.
8-53. Which number is greater, 3.56 × 104 or 1.9 × 106. Show and explain how you know.
8-54. Write the following numbers in scientific notation.
a. 370,000,000
b. 7,600
8-55. Simplify each expression.
a. 65
b.
c. (2 + 3)4
d.
8-56. Consider the equation 7 = 3x − 5.
a. Stanley wants to start solving the equation by adding 5 to both sides, while Terrence
first wants to subtract 7 from both sides. Will both strategies work? Is one strategy
more efficient than the other?
b. Solve 7 = 3x − 5. Show your steps.
8-57. Examine the table below.
a. What is the rule for the table?
b. Explain the strategy you used to find the rule.